Logical Reasoning
mediumQ. No. 19711
At 38 minutes past 2, how many degrees separate the two clock hands along the shorter arc?
Last Updated:
A150°
B148°
C149°
D151°
Correct Answer: 149°Your Answer: C
Explanation
Correct answer: Option C — 149°. Their absolute difference is 149.0°; the smaller angle is 149°. Option A (150°) is rejected because it does not equal the computed result; it represents a counting, direction, leap-year, interval, or hand-motion error. Option B (148°) is rejected because it does not equal the computed result; it represents a counting, direction, leap-year, interval, or hand-motion error. Option D (151°) is rejected because it does not equal the computed result; it represents a counting, direction, leap-year, interval, or hand-motion error.
Important Notes
- Read the complete condition before calculating and write the required reference point, date, or clock time separately. This prevents a correct calculation from answering the reverse question.
- Keep units consistent. Reduce day differences modulo 7; treat 12 on a clock as zero for angle work; and convert gained or lost minutes into the same time unit as the stated interval.
- Check boundary cases explicitly: February, century years, noon, midnight, and an angle greater than 180 degrees often change the apparent answer. A century is a leap year only when divisible by 400.